27769056 has 144 divisors (see below), whose sum is σ = 88083072. Its totient is φ = 7499520.

The previous prime is 27769039. The next prime is 27769069. The reversal of 27769056 is 65096772.

It is a happy number.

It is a super-2 number, since 2×27769056² = 1542240942262272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27768999 and 27769017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645771 + ... + 645813.

It is an arithmetic number, because the mean of its divisors is an integer number (611688).

Almost surely, 2^27769056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27769056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44041536).

27769056 is an abundant number, since it is smaller than the sum of its proper divisors (60314016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27769056 is a wasteful number, since it uses less digits than its factorization.

27769056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 27769056 is about 5269.6352814972. The cubic root of 27769056 is about 302.8217317766.

The spelling of 27769056 in words is "twenty-seven million, seven hundred sixty-nine thousand, fifty-six".